How do you write 1 is to 2 as 5 is to x as a proportion in fractional notation?(1 point)

Question

Responses

1:3::5:x
ratio of 1 to 3 colon colon ratio of 5 to x

21=5x
Start Fraction 2 over 1 End Fraction equals Start Fraction 5 over x End Fraction

1:2=5:x
ratio of 1 to 2 equals ratio of 5 to x

12=5x

Answer 1

To express "1 is to 2 as 5 is to x" in fractional notation, you would write it as:

\[ \frac{1}{2} = \frac{5}{x} \]

So the correct response is:

Start Fraction 1 over 2 End Fraction equals Start Fraction 5 over x End Fraction.

Answer 2

Determine if 2.25/10 =? 9/40 , 2.5/10 =? 90/40 , or 2.25/12 =? 90/40 is a proportion.(1 point)
Responses

2.2512=9040
Start Fraction 2.25 over 12 End Fraction equals Start Fraction 90 over 40 End Fraction

2.510=9040
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 90 over 40 End Fraction

2.2510=940
Start Fraction 2.25 over 10 End Fraction equals Start Fraction 9 over 40 End Fraction

None of these sets of ratios is a proportion.

Answer 3

To determine if any of the given ratios form a valid proportion, we need to check if the cross products are equal.

1. For \( \frac{2.25}{10} = \frac{9}{40} \):

Cross multiply: \[ 2.25 \times 40 = 90 \quad \text{and} \quad 9 \times 10 = 90 \] Since \( 90 = 90 \), this is a proportion.

2. For \( \frac{2.5}{10} = \frac{90}{40} \):

Cross multiply: \[ 2.5 \times 40 = 100 \quad \text{and} \quad 90 \times 10 = 900 \] Since \( 100 \neq 900 \), this is not a proportion.

3. For \( \frac{2.25}{12} = \frac{90}{40} \):

Cross multiply: \[ 2.25 \times 40 = 90 \quad \text{and} \quad 90 \times 12 = 1080 \] Since \( 90 \neq 1080 \), this is not a proportion.

Conclusion

The only valid proportion among the provided options is: Start Fraction 2.25 over 10 End Fraction equals Start Fraction 9 over 40 End Fraction.